\begin{abstract}
  does not start on line does not start on line does not start on line oes not
  start aa a a a a a a a a a a a a a a a a a a a a a a a a a a a a aa a a a a a
  a a a a a a a a a a a a a a

  Recall Euler's formula for planar graphs, \(V+E-F=2\).

  Let \(G\) be a maximal planar graph; we wish to show that every drawing of
  \(G\) has only triangular faces (counting the ``unbounded'' face also as a
  triangle).

  Recall Euler's formula for planar graphs, \(V+E-F=2\).
\end{abstract}

\begin{abstract} does not start on line does not start on line does not start
  on line oes not start aa a a a a a a a a a a a a a a a a a a a a a a a a a a
  a a aa a a a a a a a a a a a a a a a a a a a

  Recall Euler's formula for planar graphs, \(V+E-F=2\).

  Let \(G\) be a maximal planar graph; we wish to show that every drawing of
  \(G\) has only triangular faces (counting the ``unbounded'' face also as a
  triangle).

  Recall Euler's formula for planar graphs, \(V+E-F=2\).
\end{abstract}

\begin{abstract} does not start on line does not start on line does not start
  on line oes not start aa a a a a a a a a a a a a a a a a a a a a a a a a a a
  a a aa a a a a a a a a a a a a a a a a a a a

\end{abstract}does not start on line does not start on line does not start on line oes not
start aa a a a a a a a a a a a a a a a a a a a a a a a a a a a a aa a a a a a a
a a a a a a a a a a a a a

Recall Euler's formula for planar graphs, \(V+E-F=2\).
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